This section is from the book "The English And American Mechanic", by B. Frank Van Cleve. Also available from Amazon: The English And American Mechanic.
Divide the product of the square of the length in feet and the weight to be borne in pounds per square foot of floor, by the product of 4 times the breadth and the value of the material from the Table (page 208,) and the square root of the quotient will give the depth of the beam in inches.
A white pine beam is 2 ins. wide, and 12 feet in length between the supports; what should be the depth of it to support a weight of 175 lbs. per square foot?
122 x175
----------=105, and √ 105=10.25 ins.
2x4x30
Divide the product of the square of the depth for a beam, when the distance between the centres is one foot, by the distance given in inches by 12. and the square root of the quotient will give the depth of the beam in inches.
Assume the beam in the preceding case to be set 15 ins. from the centres of its adjoining beams; what should be its depth ? 10.252X15 -----------=131.25, and √ 131.25= 11.45 ins.
 
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